Question

A survey of 8 adults employed full-time was taken. Here are their reported numbers of hours worked per week.

Answer 1

Given:

44, 41, 41, 53, 59, 56, 56, 43.

a) To find the mean:

`\begin{gathered} \text{Mean}=\frac{\text{Sum of observations}}{\text{Total number of observations}} \\ =(393)/(8) \\ =49.125 \\ \approx49.1 \end{gathered}`

Hence, the mean is 49.1 (Rounded to one decimal place).

b) To find the median:

Let us write the data in ascending order.

41, 41, 43, 44, 53, 56, 56, 59

Hence, the median is,

`\begin{gathered} (44+53)/(2)=(97)/(2) \\ =48.5 \end{gathered}`

Therefore, the median is 48.5.

c) To find the mode:

We know that,

The mode is the value that appears most often in a set of data values.

Here, the given data set has two modes.

They are 41 and 56.